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Finding the Fourth Proportional to 1,948.22, 2,922.15 and 561.93

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Solution

The fourth proportional to 1,948.22, 2,922.15 and 561.93 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.22 : 2,922.15 = 561.93 : x
  2. Step 2: Convert to fraction form
    1,948.22/2,922.15 = 561.93/x
  3. Step 3: Cross multiply
    1,948.22x = 2,922.15 × 561.93
  4. Step 4: Simplify right side
    1,948.22x = 1,642,043.75
  5. Step 5: Solve for x
    x = 1,642,043.75/1,948.22
  6. Step 6: Final answer
    x = 842.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.